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Finding the Third Proportional to 1,183,500 and 2,587,968

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Solution

The third proportional to 1,183,500 and 2,587,968 is: 5,659,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183,500 : 2,587,968 = 2,587,968 : x
  2. Step 2: Convert to fraction form
    1,183,500/2,587,968 = 2,587,968/x
  3. Step 3: Cross multiply
    1,183,500x = 2,587,968 × 2,587,968
  4. Step 4: Simplify right side
    1,183,500x = 6,697,578,369,024
  5. Step 5: Solve for x
    x = 6,697,578,369,024/1,183,500
  6. Step 6: Final answer
    x = 5,659,128.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.